How to solve. what is the vertex of f(x)=6|x-7|+3

Vertex: (7, 3)

Step-by-step explanation:

The x coordinate of an absolute value function is found at the x value that makes the argument inside the absolute value operator equal zero, so we have

x - 7 = 0,   add 7 to both sides and we get x = 7, so 7 is the x coordinate.  

Plug 7 into the equation and find the y value of the vertex

f(7) = 6|7 - 7| + 3

   f(7) = 6(0) + 3

         f(7) = 3

So the vertex is found at (7, 3)